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Finding the Fourth Proportional to 162,409.20, 243,527.40 and 68,809.20

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Solution

The fourth proportional to 162,409.20, 243,527.40 and 68,809.20 is: 103,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,409.20 : 243,527.40 = 68,809.20 : x
  2. Step 2: Convert to fraction form
    162,409.20/243,527.40 = 68,809.20/x
  3. Step 3: Cross multiply
    162,409.20x = 243,527.40 × 68,809.20
  4. Step 4: Simplify right side
    162,409.20x = 16,756,925,572.08
  5. Step 5: Solve for x
    x = 16,756,925,572.08/162,409.20
  6. Step 6: Final answer
    x = 103,177.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.